Best Known (29, 29+31, s)-Nets in Base 256
(29, 29+31, 775)-Net over F256 — Constructive and digital
Digital (29, 60, 775)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (1, 11, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (1, 16, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (2, 33, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (1, 11, 258)-net over F256, using
(29, 29+31, 3618)-Net over F256 — Digital
Digital (29, 60, 3618)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25660, 3618, F256, 31) (dual of [3618, 3558, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(25660, 4369, F256, 31) (dual of [4369, 4309, 32]-code), using
(29, 29+31, large)-Net in Base 256 — Upper bound on s
There is no (29, 60, large)-net in base 256, because
- 29 times m-reduction [i] would yield (29, 31, large)-net in base 256, but